Optical imaging lens

ABSTRACT

An optical imaging lens includes a first lens element to a ninth lens element from an object side to an image side along an optical axis. The second lens element has negative refracting power or the third lens element has positive refracting power, a periphery region of the image-side surface of the second lens element is concave, the fourth lens element has negative refracting power, the sixth lens element has negative refracting power, an optical axis region of the image-side surface of the seventh lens element is concave, and an optical axis region of the image-side surface of the ninth lens element is concave. Lens elements included by the optical imaging lens are only nine lens elements described above to satisfy (V5+V6+V7)/(V3+V4)≥1.100.

BACKGROUND OF THE INVENTION 1. Field of the Invention

The present invention generally relates to an optical imaging lens.Specifically speaking, the present invention is directed to an opticalimaging lens for using in a portable electronic device such as a mobilephone, a camera, a tablet personal computer, or a personal digitalassistant (PDA) for taking pictures or for recording videos.

2. Description of the Prior Art

In recent years, the optical imaging lens is constantly evolving. Inaddition to requiring the lens to be light, thin and short, it isincreasingly important to improve the imaging quality such as aberrationand chromatic aberration of the optical imaging lens. However, accordingto the demand, increasing the number of optical lens elements will alsoincrease the distance from the object-side surface of the first lenselement to the image plane along the optical axis, which is notconducive to the thinness of mobile phones and digital cameras.Therefore, it is always the development goal of the design to provide alight, thin and short optical imaging lens with good imaging quality.Besides, a small f-number (Fno) can increase the light flux, and a largeimage height can moderately increase the pixel size, which is beneficialto night shooting. Therefore, it has gradually become a market trend.How to design an optical imaging lens with a large image height and asmall f number besides pursuing the thin and short lens is also thefocus of research and development.

SUMMARY OF THE INVENTION

In light of the above, each embodiment of the present invention proposesan optical imaging lens. The optical imaging lens of the presentinvention from an obj ect side to an image side in order along anoptical axis has a first lens element, a second lens element, a thirdlens element, a fourth lens element, a fifth lens element, a sixth lenselement, a seventh lens element, an eighth lens element and a ninth lenselement. Each of the first lens element, second lens element, third lenselement, fourth lens element, fifth lens element, sixth lens element,seventh lens element, eighth lens element and ninth lens elementrespectively has an object-side surface which faces toward the objectside to allow imaging rays to pass through as well as an image-sidesurface which faces toward the image side to allow the imaging rays topass through.

In one embodiment of the present invention, the second lens element hasnegative refracting power or the third lens element has positiverefracting power, a periphery region of the image-side surface of thesecond lens element is concave, the fourth lens element has negativerefracting power, the sixth lens element has negative refracting power,an optical axis region of the image-side surface of the seventh lenselement is concave, an optical axis region of the image-side surface ofthe ninth lens element is concave, lens elements included by the opticalimaging lens are only the nine lens elements described above, and theoptical imaging lens satisfies the relationship:

(V5+V6+V7)/(V3+V4) ≥ 1.100.

In another embodiment of the present invention, the second lens elementhas negative refracting power, the fourth lens element has negativerefracting power, the sixth lens element has negative refracting power,and a periphery region of the object-side surface of the sixth lenselement is concave, an optical axis region of the image-side surface ofthe seventh lens element is concave, an optical axis region of theimage-side surface of the ninth lens element is concave, lens elementsincluded by the optical imaging lens are only the nine lens elementsdescribed above, and the optical imaging lens satisfies therelationship: (V5+V6+V7)/(V3+V4)≥1.100.

In another embodiment of the present invention, the second lens elementhas negative refracting power or the third lens element has positiverefracting power, the fourth lens element has negative refracting power,the sixth lens element has negative refracting power, an optical axisregion of the object-side surface of the sixth lens element is concave,and a periphery region of the image-side surface of the sixth lenselement is convex, an optical axis region of the object-side surface ofthe seventh lens element is convex, a periphery region of theobject-side surface of the ninth lens element is concave, lens elementsincluded by the optical imaging lens are only the nine lens elementsdescribed above, and the optical imaging lens satisfies therelationship:

(V5+V6+V7) ≥ (V2+V3+V4).

In the optical imaging lens of the present invention, the embodimentsmay also selectively satisfy the following optical conditions:

(G34+G56)/G23 ≥ 2.500;

(T6+T7)/(G56+G67) ≥ 2.300;

(T4+T5+T6)/(G67+G78) ≤ 3.000;

(G89+T9)/(G23+G67) ≥ 3.000;

(T1+G12+G34)/T3 ≤ 4.000;

ALT/(G78+G89) ≤ 4.400;

AAG/(T2+T3+G34) ≤ 2.500;

(T4+G45+T5)/(G12+G34) ≤ 2.100;

ALT/(T5+G56+T6) ≤ 4.200;

(T8+BFL)/T2 ≤ 5.500;

TL/(T1+T6+G89) ≤ 4.200;

(G34+T6)/T4 ≥ 2.800;

(T6+G67)/G56 ≤ 3.400;

(T1+T9)/(G56+G67) ≥ 2.800;

(AAG+T4)/T1 ≤ 4.500;

(T8+T9)/T7 ≥ 1.500; and

(T2+T3+T4)/T6 ≤ 2.500.

In the present invention, T1 is a thickness of the first lens elementalong the optical axis, T2 is a thickness of the second lens elementalong the optical axis, T3 is a thickness of the third lens elementalong the optical axis, T4 is a thickness of the fourth lens elementalong the optical axis, T5 is a thickness of the fifth lens elementalong the optical axis, T6 is a thickness of the sixth lens elementalong the optical axis, T7 is a thickness of the seventh lens elementalong the optical axis, T8 is a thickness of the eighth lens elementalong the optical axis, T9 is a thickness of the ninth lens elementalong the optical axis, G12 is an air gap between the first lens elementand the second lens element along the optical axis, G23 is an air gapbetween the second lens element and the third lens element along theoptical axis, G34 is an air gap between the third lens element and thefourth lens element along the optical axis, G45 is an air gap betweenthe fourth lens element and the fifth lens element along the opticalaxis, G56 is an air gap between the fifth lens element and the sixthlens element along the optical axis, G67 is an air gap between the sixthlens element and the seventh lens element along the optical axis, G78 isan air gap between the seventh lens element and the eighth lens elementalong the optical axis, G89 is an air gap between the eighth lenselement and the ninth lens element along the optical axis, ALT is a sumof thicknesses of the nine lens elements from the first lens element tothe ninth lens element along the optical axis, TL is a distance from theobject-side surface of the first lens element to the image-side surfaceof the ninth lens element along the optical axis, BFL is a distance fromthe image-side surface of the ninth lens element to an image plane alongthe optical axis, AAG is a sum of eight air gaps from the first lenselement to the ninth lens element along the optical axis.

Besides, an Abbe number of the second lens element is V2; an Abbe numberof the third lens element is V3; an Abbe number of the fourth lenselement is V4; an Abbe number of the fifth lens element is V5; an Abbenumber of the sixth lens element is V6; an Abbe number of the seventhlens element is V7.

These and other objectives of the present invention will no doubt becomeobvious to those of ordinary skill in the art after reading thefollowing detailed description of the preferred embodiment that isillustrated in the various figures and drawings.

BRIEF DESCRIPTION OF THE DRAWINGS

FIGS. 1-5 illustrate the methods for determining the surface shapes andfor determining optical axis region or periphery region of one lenselement.

FIG. 6 illustrates a first embodiment of the optical imaging lens of thepresent invention.

FIG. 7A illustrates the longitudinal spherical aberration on the imageplane of the first embodiment.

FIG. 7B illustrates the field curvature aberration on the sagittaldirection of the first embodiment.

FIG. 7C illustrates the field curvature aberration on the tangentialdirection of the first embodiment.

FIG. 7D illustrates the distortion of the first embodiment.

FIG. 8 illustrates a second embodiment of the optical imaging lens ofthe present invention.

FIG. 9A illustrates the longitudinal spherical aberration on the imageplane of the second embodiment.

FIG. 9B illustrates the field curvature aberration on the sagittaldirection of the second embodiment.

FIG. 9C illustrates the field curvature aberration on the tangentialdirection of the second embodiment.

FIG. 9D illustrates the distortion of the second embodiment.

FIG. 10 illustrates a third embodiment of the optical imaging lens ofthe present invention.

FIG. 11A illustrates the longitudinal spherical aberration on the imageplane of the third embodiment.

FIG. 11B illustrates the field curvature aberration on the sagittaldirection of the third embodiment.

FIG. 11C illustrates the field curvature aberration on the tangentialdirection of the third embodiment.

FIG. 11D illustrates the distortion of the third embodiment.

FIG. 12 illustrates a fourth embodiment of the optical imaging lens ofthe present invention.

FIG. 13A illustrates the longitudinal spherical aberration on the imageplane of the fourth embodiment.

FIG. 13B illustrates the field curvature aberration on the sagittaldirection of the fourth embodiment.

FIG. 13C illustrates the field curvature aberration on the tangentialdirection of the fourth embodiment.

FIG. 13D illustrates the distortion of the fourth embodiment.

FIG. 14 illustrates a fifth embodiment of the optical imaging lens ofthe present invention.

FIG. 15A illustrates the longitudinal spherical aberration on the imageplane of the fifth embodiment.

FIG. 15B illustrates the field curvature aberration on the sagittaldirection of the fifth embodiment.

FIG. 15C illustrates the field curvature aberration on the tangentialdirection of the fifth embodiment.

FIG. 15D illustrates the distortion of the fifth embodiment.

FIG. 16 illustrates a sixth embodiment of the optical imaging lens ofthe present invention.

FIG. 17A illustrates the longitudinal spherical aberration on the imageplane of the sixth embodiment.

FIG. 17B illustrates the field curvature aberration on the sagittaldirection of the sixth embodiment.

FIG. 17C illustrates the field curvature aberration on the tangentialdirection of the sixth embodiment.

FIG. 17D illustrates the distortion of the sixth embodiment.

FIG. 18 illustrates a seventh embodiment of the optical imaging lens ofthe present invention.

FIG. 19A illustrates the longitudinal spherical aberration on the imageplane of the seventh embodiment.

FIG. 19B illustrates the field curvature aberration on the sagittaldirection of the seventh embodiment.

FIG. 19C illustrates the field curvature aberration on the tangentialdirection of the seventh embodiment.

FIG. 19D illustrates the distortion of the seventh embodiment.

FIG. 20 illustrates an eighth embodiment of the optical imaging lens ofthe present invention.

FIG. 21A illustrates the longitudinal spherical aberration on the imageplane of the eighth embodiment.

FIG. 21B illustrates the field curvature aberration on the sagittaldirection of the eighth embodiment.

FIG. 21C illustrates the field curvature aberration on the tangentialdirection of the eighth embodiment.

FIG. 21D illustrates the distortion of the eighth embodiment.

FIG. 22 illustrates a ninth embodiment of the optical imaging lens ofthe present invention.

FIG. 23A illustrates the longitudinal spherical aberration on the imageplane of the ninth embodiment.

FIG. 23B illustrates the field curvature aberration on the sagittaldirection of the ninth embodiment.

FIG. 23C illustrates the field curvature aberration on the tangentialdirection of the ninth embodiment.

FIG. 23D illustrates the distortion of the ninth embodiment.

FIG. 24 shows the optical data of the first embodiment of the opticalimaging lens.

FIG. 25 shows the aspheric surface data of the first embodiment.

FIG. 26 shows the optical data of the second embodiment of the opticalimaging lens.

FIG. 27 shows the aspheric surface data of the second embodiment.

FIG. 28 shows the optical data of the third embodiment of the opticalimaging lens.

FIG. 29 shows the aspheric surface data of the third embodiment.

FIG. 30 shows the optical data of the fourth embodiment of the opticalimaging lens.

FIG. 31 shows the aspheric surface data of the fourth embodiment.

FIG. 32 shows the optical data of the fifth embodiment of the opticalimaging lens.

FIG. 33 shows the aspheric surface data of the fifth embodiment.

FIG. 34 shows the optical data of the sixth embodiment of the opticalimaging lens.

FIG. 35 shows the aspheric surface data of the sixth embodiment.

FIG. 36 shows the optical data of the seventh embodiment of the opticalimaging lens.

FIG. 37 shows the aspheric surface data of the seventh embodiment.

FIG. 38 shows the optical data of the eighth embodiment of the opticalimaging lens.

FIG. 39 shows the aspheric surface data of the eighth embodiment.

FIG. 40 shows the optical data of the ninth embodiment of the opticalimaging lens.

FIG. 41 shows the aspheric surface data of the ninth embodiment.

FIG. 42 shows some important ratios in the embodiments.

FIG. 43 shows some important ratios in the embodiments.

DETAILED DESCRIPTION

The terms “optical axis region”, “periphery region”, “concave”, and“convex” used in this specification and claims should be interpretedbased on the definition listed in the specification by the principle oflexicographer.

In the present disclosure, the optical system may comprise at least onelens element to receive imaging rays that are incident on the opticalsystem over a set of angles ranging from parallel to an optical axis toa half field of view (HFOV) angle with respect to the optical axis. Theimaging rays pass through the optical system to produce an image on animage plane. The term “a lens element having positive refracting power(or negative refracting power)” means that the paraxial refracting powerof the lens element in Gaussian optics is positive (or negative). Theterm “an object-side (or image-side) surface of a lens element” refersto a specific region of that surface of the lens element at whichimaging rays can pass through that specific region. Imaging rays includeat least two types of rays: a chief ray Lc and a marginal ray Lm (asshown in FIG. 1 ). An object-side (or image-side) surface of a lenselement can be characterized as having several regions, including anoptical axis region, a periphery region, and, in some cases, one or moreintermediate regions, as discussed more fully below.

FIG. 1 is a radial cross-sectional view of a lens element 100. Tworeferential points for the surfaces of the lens element 100 can bedefined: a central point, and a transition point. The central point of asurface of a lens element is a point of intersection of that surface andthe optical axis I. As illustrated in FIG. 1 , a first central point CP1may be present on the object-side surface 110 of lens element 100 and asecond central point CP2 may be present on the image-side surface 120 ofthe lens element 100. The transition point is a point on a surface of alens element, at which the line tangent to that point is perpendicularto the optical axis I. The optical boundary OB of a surface of the lenselement is defined as a point at which the radially outermost marginalray Lm passing through the surface of the lens element intersects thesurface of the lens element. All transition points lie between theoptical axis I and the optical boundary OB of the surface of the lenselement. A surface of the lens element 100 may have no transition pointor have at least one transition point. If multiple transition points arepresent on a single surface, then these transition points aresequentially named along the radial direction of the surface withreference numerals starting from the first transition point. Forexample, the first transition point, e.g., TP1, (closest to the opticalaxis I), the second transition point, e.g., TP2, (as shown in FIG. 4 ),and the Nth transition point (farthest from the optical axis I).

When a surface of the lens element has at least one transition point,the region of the surface of the lens element from the central point tothe first transition point TP1 is defined as the optical axis region,which includes the central point. The region located radially outside ofthe farthest transition point (the Nth transition point) from theoptical axis I to the optical boundary OB of the surface of the lenselement is defined as the periphery region. In some embodiments, theremay be intermediate regions present between the optical axis region andthe periphery region, with the number of intermediate regions dependingon the number of the transition points. When a surface of the lenselement has no transition point, the optical axis region is defined as aregion of 0%-50% of the distance between the optical axis I and theoptical boundary OB of the surface of the lens element, and theperiphery region is defined as a region of 50%-100% of the distancebetween the optical axis I and the optical boundary OB of the surface ofthe lens element.

The shape of a region is convex if a collimated ray being parallel tothe optical axis I and passing through the region is bent toward theoptical axis I such that the ray intersects the optical axis I on theimage side A2 of the lens element. The shape of a region is concave ifthe extension line of a collimated ray being parallel to the opticalaxis I and passing through the region intersects the optical axis I onthe object side A1 of the lens element.

Additionally, referring to FIG. 1 , the lens element 100 may also have amounting portion 130 extending radially outward from the opticalboundary OB. The mounting portion 130 is typically used to physicallysecure the lens element to a corresponding element of the optical system(not shown). Imaging rays do not reach the mounting portion 130. Thestructure and shape of the mounting portion 130 are only examples toexplain the technologies, and should not be taken as limiting the scopeof the present disclosure. The mounting portion 130 of the lens elementsdiscussed below may be partially or completely omitted in the followingdrawings.

Referring to FIG. 2 , optical axis region Z1 is defined between centralpoint CP and first transition point TP1. Periphery region Z2 is definedbetween TP1 and the optical boundary OB of the surface of the lenselement. Collimated ray 211 intersects the optical axis I on the imageside A2 of lens element 200 after passing through optical axis regionZ1, i.e., the focal point of collimated ray 211 after passing throughoptical axis region Z1 is on the image side A2 of the lens element 200at point R in FIG. 2 . Accordingly, since the ray itself intersects theoptical axis I on the image side A2 of the lens element 200, opticalaxis region Z1 is convex. On the contrary, collimated ray 212 divergesafter passing through periphery region Z2. The extension line EL ofcollimated ray 212 after passing through periphery region Z2 intersectsthe optical axis I on the object side A1 of lens element 200, i.e., thefocal point of collimated ray 212 after passing through periphery regionZ2 is on the object side A1 at point M in FIG. 2 . Accordingly, sincethe extension line EL of the ray intersects the optical axis I on theobject side A1 of the lens element 200, periphery region Z2 is concave.In the lens element 200 illustrated in FIG. 2 , the first transitionpoint TP1 is the border of the optical axis region and the peripheryregion, i.e., TP1 is the point at which the shape changes from convex toconcave.

Alternatively, there is another way for a person having ordinary skillin the art to determine whether an optical axis region is convex orconcave by referring to the sign of “Radius of curvature” (the “R”value), which is the paraxial radius of shape of a lens surface in theoptical axis region. The R value is commonly used in conventionaloptical design software such as Zemax and CodeV The R value usuallyappears in the lens data sheet in the software. For an object-sidesurface, a positive R value defines that the optical axis region of theobject-side surface is convex, and a negative R value defines that theoptical axis region of the object-side surface is concave. Conversely,for an image-side surface, a positive R value defines that the opticalaxis region of the image-side surface is concave, and a negative R valuedefines that the optical axis region of the image-side surface isconvex. The result found by using this method should be consistent withthe method utilizing intersection of the optical axis by rays /extension lines mentioned above, which determines surface shape byreferring to whether the focal point of a collimated ray being parallelto the optical axis I is on the object-side or the image-side of a lenselement. As used herein, the terms “a shape of a region is convex(concave),” “a region is convex (concave),” and “a convex-(concave-)region,” can be used alternatively.

FIG. 3 , FIG. 4 and FIG. 5 illustrate examples of determining the shapeof lens element regions and the boundaries of regions under variouscircumstances, including the optical axis region, the periphery region,and intermediate regions as set forth in the present specification.

FIG. 3 is a radial cross-sectional view of a lens element 300. Asillustrated in FIG. 3 , only one transition point TP1 appears within theoptical boundary OB of the image-side surface 320 of the lens element300. Optical axis region Z1 and periphery region Z2 of the image-sidesurface 320 of lens element 300 are illustrated. The R value of theimage-side surface 320 is positive (i.e., R>0). Accordingly, the opticalaxis region Z1 is concave.

In general, the shape of each region demarcated by the transition pointwill have an opposite shape to the shape of the adjacent region(s).Accordingly, the transition point will define a transition in shape,changing from concave to convex at the transition point or changing fromconvex to concave. In FIG. 3 , since the shape of the optical axisregion Z1 is concave, the shape of the periphery region Z2 will beconvex as the shape changes at the transition point TP1.

FIG. 4 is a radial cross-sectional view of a lens element 400. Referringto FIG. 4 , a first transition point TP1 and a second transition pointTP2 are present on the object-side surface 410 of lens element 400. Theoptical axis region Z1 of the object-side surface 410 is defined betweenthe optical axis I and the first transition point TP1. The R value ofthe object-side surface 410 is positive (i.e., R>0). Accordingly, theoptical axis region Z1 is convex.

The periphery region Z2 of the object-side surface 410, which is alsoconvex, is defined between the second transition point TP2 and theoptical boundary OB of the object-side surface 410 of the lens element400. Further, intermediate region Z3 of the object-side surface 410,which is concave, is defined between the first transition point TP1 andthe second transition point TP2. Referring once again to FIG. 4 , theobject-side surface 410 includes an optical axis region Z1 locatedbetween the optical axis I and the first transition point TP1, anintermediate region Z3 located between the first transition point TP1and the second transition point TP2, and a periphery region Z2 locatedbetween the second transition point TP2 and the optical boundary OB ofthe object-side surface 410. Since the shape of the optical axis regionZ1 is designed to be convex, the shape of the intermediate region Z3 isconcave as the shape of the intermediate region Z3 changes at the firsttransition point TP1, and the shape of the periphery region Z2 is convexas the shape of the periphery region Z2 changes at the second transitionpoint TP2.

FIG. 5 is a radial cross-sectional view of a lens element 500. Lenselement 500 has no transition point on the object-side surface 510 ofthe lens element 500. For a surface of a lens element with no transitionpoint, for example, the object-side surface 510 the lens element 500,the optical axis region Z1 is defined as the region of 0%-50% of thedistance between the optical axis I and the optical boundary OB of thesurface of the lens element and the periphery region is defined as theregion of 50%-100% of the distance between the optical axis I and theoptical boundary OB of the surface of the lens element. Referring tolens element 500 illustrated in FIG. 5 , the optical axis region Z1 ofthe object-side surface 510 is defined between the optical axis I and50% of the distance between the optical axis I and the optical boundaryOB. The R value of the object-side surface 510 is positive (i.e., R>0).Accordingly, the optical axis region Z1 is convex. For the object-sidesurface 510 of the lens element 500, because there is no transitionpoint, the periphery region Z2 of the object-side surface 510 is alsoconvex. It should be noted that lens element 500 may have a mountingportion (not shown) extending radially outward from the periphery regionZ2.

As shown in FIG. 6 , the optical imaging lens 1 of nine lens elements ofthe present invention, sequentially located from an object side A1(where an object is located) to an image side A2 along an optical axisI, has an aperture stop (ape. stop) 2, a first lens element 10, a secondlens element 20, a third lens element 30, a fourth lens element 40, afifth lens element 50, a sixth lens element 60, a seventh lens element70, an eighth lens element 80, a ninth lens element 90, a filter 3 andan image plane 4. Generally speaking, the first lens element 10, thesecond lens element 20, the third lens element 30, the fourth lenselement 40, the fifth lens element 50, the sixth lens element 60, theseventh lens element 70, the eighth lens element 80 and the ninth lenselement 90 may be made of a transparent plastic material but the presentinvention is not limited to this, and each has appropriate refractingpower. In the present invention, lens elements having refracting powerincluded by the optical imaging lens 1 are only the nine lens elementsdescribed above. The optical axis I is the optical axis of the entireoptical imaging lens 1, and the optical axis of each of the lenselements coincides with the optical axis of the optical imaging lens 1.

Furthermore, the optical imaging lens 1 includes an aperture stop (ape.stop) 2 disposed in an appropriate position. In FIG. 6 , the aperturestop 2 is disposed on the side of the first lens element 10 facing theobject side A1. When light emitted or reflected by an object (not shown)which is located at the object side A1 enters the optical imaging lens 1of the present invention, it forms a clear and sharp image on the imageplane 4 at the image side A2 after passing through the aperture stop 2,the first lens element 10, the second lens element 20, the third lenselement 30, the fourth lens element 40, the fifth lens element 50, thesixth lens element 60, the seventh lens element 70, the eighth lenselement 80, the ninth lens element 90 and the filter 3. In oneembodiment of the present invention, the filter 3 is placed between theninth lens element 90 and the image plane 4. The optional filter 3 maybe a filter of various suitable functions, for example, the filter 3 maybe an infrared cut-off filter (IR cut filter), which is used to preventinfrared rays in the imaging ray from being transmitted to the imageplane 4 to affect the imaging quality.

Each lens element in the optical imaging lens 1 of the present inventionhas an object-side surface facing toward the object side A1 as well asan image-side surface facing toward the image side A2. For example, thefirst lens element 10 has an object-side surface 11 and an image-sidesurface 12; the second lens element 20 has an object-side surface 21 andan image-side surface 22; the third lens element 30 has an object-sidesurface 31 and an image-side surface 32; the fourth lens element 40 hasan object-side surface 41 and an image-side surface 42; the fifth lenselement 50 has an object-side surface 51 and an image-side surface 52;the sixth lens element 60 has an object-side surface 61 and animage-side surface 62; the seventh lens element 70 has an object-sidesurface 71 and an image-side surface 72; the eighth lens element 80 hasan object-side surface 81 and an image-side surface 82; and the ninthlens element 90 has an object-side surface 91 and an image-side surface92. In addition, each object-side surface and image-side surface in theoptical imaging lens 1 of the present invention has an optical axisregion and a periphery region.

Each lens element in the optical imaging lens 1 of the present inventionfurther has a thickness T along the optical axis I. For example, thefirst lens element 10 has a first lens element thickness T1, the secondlens element 20 has a second lens element thickness T2, the third lenselement 30 has a third lens element thickness T3, the fourth lenselement 40 has a fourth lens element thickness T4, the fifth lenselement 50 has a fifth lens element thickness T5, the sixth lens element60 has a sixth lens element thickness T6, the seventh lens element 70has a seventh lens element thickness T7, the eighth lens element 80 hasan eighth lens element thickness T8, the ninth lens element 90 has anninth lens element thickness T9. Therefore, the sum of the thicknessesof nine lens elements from the first lens element 10 to the ninth lenselement 90 in the optical imaging lens 1 along the optical axis I is ALT= T1 + T2 + T3 + T4 + T5 + T6 + T7+ T8+T9.

In addition, between two adjacent lens elements in the optical imaginglens 1 of the present invention there may be an air gap along theoptical axis I. For example, there is an air gap G12 between the firstlens element 10 and the second lens element 20, an air gap G23 betweenthe second lens element 20 and the third lens element 30, an air gap G34between the third lens element 30 and the fourth lens element 40, an airgap G45 between the fourth lens element 40 and the fifth lens element50, an air gap G56 between the fifth lens element 50 and the sixth lenselement 60, an air gap G67 between the sixth lens element 60 and theseventh lens element 70, an air gap G78 between the seventh lens element70 and the eighth lens element 80, and an air gap G89 between the eighthlens element 80 and the ninth lens element 90. Therefore, the sum ofeight air gaps from the first lens element 10 to the ninth lens element90 along the optical axis I is AAG = G12 + G23 + G34 + G45 + G56 + G67+G78+ G89.

In addition, a distance from the object-side surface 11 of the firstlens element 10 to the image plane 4 along the optical axis I is TTL,namely a system length of the optical imaging lens 1; an effective focallength of the optical imaging lens 1 is EFL; a distance from theobject-side surface 11 of the first lens element 10 to the image-sidesurface 92 of the ninth lens element 90 along the optical axis I is TL;HFOV stands for the half field of view which is half of the field ofview of the entire optical imaging lens 1; ImgH is an image height ofthe optical imaging lens 1, and Fno is a f-number of the optical imaginglens 1.

When the filter 3 is placed between the ninth lens element 90 and theimage plane 4, an air gap between the ninth lens element 90 and thefilter 3 along the optical axis I is G9F; a thickness of the filter 3along the optical axis I is TF; an air gap between the filter 3 and theimage plane 4 along the optical axis I is GFP; and a distance from theimage-side surface 92 of the ninth lens element 90 to the image plane 4along the optical axis I is BFL. Therefore, BFL = G9F + TF + GFP.

Furthermore, a focal length of the first lens element 10 is f1; a focallength of the second lens element 20 is f2; a focal length of the thirdlens element 30 is f3; a focal length of the fourth lens element 40 isf4; a focal length of the fifth lens element 50 is f5; a focal length ofthe sixth lens element 60 is f6; a focal length of the seventh lenselement 70 is f7; a focal length of the eighth lens element 80 is f8; afocal length of the ninth lens element 90 is f9; a refractive index ofthe first lens element 10 is n1; a refractive index of the second lenselement 20 is n2; a refractive index of the third lens element 30 is n3;a refractive index of the fourth lens element 40 is n4; a refractiveindex of the fifth lens element 50 is n5; a refractive index of thesixth lens element 60 is n6; a refractive index of the seventh lenselement 70 is n7; a refractive index of the eighth lens element 80 isn8; a refractive index of the ninth lens element 90 is n9; an Abbenumber of the first lens element 10 is V1; an Abbe number of the secondlens element 20 is V2; an Abbe number of the third lens element 30 isV3; and an Abbe number of the fourth lens element 40 is V4; an Abbenumber of the fifth lens element 50 is V5; an Abbe number of the sixthlens element 60 is V6; an Abbe number of the seventh lens element 70 isV7; an Abbe number of the eighth lens element 80 is V8; and an Abbenumber of the ninth lens element 90 is V9.

First Embodiment

Please refer to FIG. 6 which illustrates the first embodiment of theoptical imaging lens 1 of the present invention. Please refer to FIG. 7Afor the longitudinal spherical aberration on the image plane 4 of thefirst embodiment; please refer to FIG. 7B for the field curvatureaberration on the sagittal direction; please refer to FIG. 7C for thefield curvature aberration on the tangential direction; and please referto FIG. 7D for the distortion aberration. The Y axis of the sphericalaberration in each embodiment is “field of view” for 1.0. The Y axis ofthe astigmatic field and the distortion in each embodiment stands for“image height” (ImgH), and the image height in the first embodiment is5.809 mm.

Lens elements in the optical imaging lens 1 of the first embodiment areonly the nine lens elements 10, 20, 30, 40, 50, 60, 70, 80 and 90 withrefracting power. The optical imaging lens 1 also has an aperture stop 2and an image plane 4. The aperture stop 2 is disposed on the side of thefirst lens element 10 facing the object side A1.

The first lens element 10 has positive refracting power. An optical axisregion 13 of the object-side surface 11 of the first lens element 10 isconvex, and a periphery region 14 of the object-side surface 11 of thefirst lens element 10 is convex. An optical axis region 16 of theimage-side surface 12 of the first lens element 10 is concave, and aperiphery region 17 of the image-side surface 12 of the first lenselement 10 is concave. Besides, both the object-side surface 11 and theimage-side surface 12 of the first lens element 10 are asphericsurfaces, but it is not limited thereto.

The second lens element 20 has negative refracting power. An opticalaxis region 23 of the object-side surface 21 of the second lens element20 is convex, and a periphery region 24 of the object-side surface 21 ofthe second lens element 20 is convex. An optical axis region 26 of theimage-side surface 22 of the second lens element 20 is concave, and aperiphery region 27 of the image-side surface 22 of the second lenselement 20 is concave. Besides, both the object-side surface 21 and theimage-side surface 22 of the second lens element 20 are asphericsurfaces, but it is not limited thereto.

The third lens element 30 has positive refracting power. An optical axisregion 33 of the object-side surface 31 of the third lens element 30 isconvex, and a periphery region 34 of the object-side surface 31 of thethird lens element 30 is convex. An optical axis region 36 of theimage-side surface 32 of the third lens element 30 is convex, and aperiphery region 37 of the image-side surface 32 of the third lenselement 30 is convex. Besides, both the object-side surface 31 and theimage-side surface 32 of the third lens element 30 are asphericsurfaces, but it is not limited thereto.

The fourth lens element 40 has negative refracting power. An opticalaxis region 43 of the object-side surface 41 of the fourth lens element40 is convex, and a periphery region 44 of the object-side surface 41 ofthe fourth lens element 40 is concave. An optical axis region 46 of theimage-side surface 42 of the fourth lens element 40 is concave, and aperiphery region 47 of the image-side surface 42 of the fourth lenselement 40 is convex. Besides, both the object-side surface 41 and theimage-side surface 42 of the fourth lens element 40 are asphericsurfaces, but it is not limited thereto.

The fifth lens element 50 has negative refracting power. An optical axisregion 53 of the object-side surface 51 of the fifth lens element 50 isconcave, and a periphery region 54 of the object-side surface 51 of thefifth lens element 50 is concave. An optical axis region 56 of theimage-side surface 52 of the fifth lens element 50 is convex, and aperiphery region 57 of the image-side surface 52 of the fifth lenselement 50 is convex. Besides, both the object-side surface 51 and theimage-side surface 52 of the fifth lens element 50 are asphericsurfaces, but it is not limited thereto.

The sixth lens element 60 has negative refracting power. An optical axisregion 63 of the object-side surface 61 of the sixth lens element 60 isconcave, and a periphery region 64 of the object-side surface 61 of thesixth lens element 60 is concave. An optical axis region 66 of theimage-side surface 62 of the sixth lens element 60 is concave, and aperiphery region 67 of the image-side surface 62 of the sixth lenselement 60 is convex. Besides, both the object-side surface 61 and theimage-side surface 62 of the sixth lens element 60 are asphericsurfaces, but it is not limited thereto.

The seventh lens element 70 has positive refracting power. An opticalaxis region 73 of the object-side surface 71 of the seventh lens element70 is convex, and a periphery region 74 of the object-side surface 71 ofthe seventh lens element 70 is concave. An optical axis region 76 of theimage-side surface 72 of the seventh lens element 70 is concave, and aperiphery region 77 of the image-side surface 72 of the seventh lenselement 70 is convex. Besides, both the object-side surface 71 and theimage-side surface 72 of the seventh lens element 70 are asphericsurfaces, but it is not limited thereto.

The eighth lens element 80 has positive refracting power. An opticalaxis region 83 of the object-side surface 81 of the eighth lens element80 is convex, and a periphery region 84 of the object-side surface 81 ofthe eighth lens element 80 is concave. An optical axis region 86 of theimage-side surface 82 of the eighth lens element 80 is convex, and aperiphery region 87 of the image-side surface 82 of the eighth lenselement 80 is convex. Besides, both the object-side surface 81 and theimage-side surface 82 of the eighth lens element 80 are asphericsurfaces, but it is not limited thereto.

The ninth lens element 90 has negative refracting power. An optical axisregion 93 of the object-side surface 91 of the ninth lens element 90 isconcave, and a periphery region 94 of the object-side surface 91 of theninth lens element 90 is concave. An optical axis region 96 of theimage-side surface 92 of the ninth lens element 90 is concave, and aperiphery region 97 of the image-side surface 92 of the ninth lenselement 90 is convex. Besides, both the object-side surface 91 and theimage-side surface 92 of the ninth lens element 90 are asphericsurfaces, but it is not limited thereto.

The first lens element 10, the second lens element 20, the third lenselement 30, the fourth lens element 40, the fifth lens element 50, thesixth lens element 60, the seventh lens element 70, the eighth lenselement 80 and the ninth lens element 90 of the optical imaging lens 1of the present invention, there are 18 surfaces, such as the object-sidesurfaces 11/21/31/41/51/61/71/81/91 and the image-side surfaces12/22/32/42/52/62/72/82/92. If a surface is aspheric, these asphericcoefficients are defined according to the following formula:

$Z(Y)\mspace{6mu} = \mspace{6mu}{\frac{Y^{2}}{R}/{(1\mspace{6mu} + \mspace{6mu}\sqrt{1\mspace{6mu} - \mspace{6mu}\left( {1\mspace{6mu} - \mspace{6mu} K} \right)\frac{Y^{2}}{R^{2}})}}}\mspace{6mu} + \mspace{6mu}{\sum\limits_{i = 1}^{n}\text{a}_{2i}}\mspace{6mu} \times \mspace{6mu} Y^{2i}$

In which:

-   Y represents a perpendicular distance from a point on the aspheric    surface to the optical axis;-   Z represents the depth of an aspheric surface (the perpendicular    distance between the point of the aspheric surface at a distance Y    from the optical axis and the tangent plane of the vertex on the    optical axis of the aspheric surface);-   R represents the radius of curvature of the lens element surface;-   K is a conic constant; and-   a_(2i) is the aspheric coefficient of the 2i^(th) order, in which    the a₂ coefficient of each embodiment is 0.

The optical data of the first embodiment of the optical imaging lens 1are shown in FIG. 24 while the aspheric surface data are shown in FIG.25 . In the present embodiments of the optical imaging lens, thef-number of the entire optical imaging lens is Fno, the effective focallength is EFL, HFOV stands for the half field of view which is half ofthe field of view of the entire optical imaging lens, and the unit forthe radius of curvature, the thickness and the focal length is inmillimeters (mm). In this embodiment, TTL= 8.577 mm; EFL= 6.431 mm;HFOV= 42.146 degrees; ImgH=5.809 mm; Fno = 1.800.

Second Embodiment

Please refer to FIG. 8 which illustrates the second embodiment of theoptical imaging lens 1 of the present invention. It is noted that fromthe second embodiment to the following embodiments, in order to simplifythe figures, only the components different from what the firstembodiment has, and the basic lens elements will be labeled in figures.Other components that are the same as what the first embodiment has,such as the object-side surface, the image-side surface, the portion ina vicinity of the optical axis and the portion in a vicinity of itsperiphery will be omitted in the following embodiments. Please refer toFIG. 9A for the longitudinal spherical aberration on the image plane 4of the second embodiment, please refer to FIG. 9B for the fieldcurvature aberration on the sagittal direction, please refer to FIG. 9Cfor the field curvature aberration on the tangential direction, andplease refer to FIG. 9D for the distortion aberration. The components inthis embodiment are similar to those in the first embodiment, but theoptical data such as the lens element refracting power, the radius ofcurvature, the lens element thickness, the aspheric surface or the backfocal length in this embodiment are different from the optical data inthe first embodiment. Besides, in this embodiment, the optical axisregion 36 of the image-side surface 32 of the third lens element 30 isconcave and the periphery region 37 of the image-side surface 32 of thethird lens element 30 is concave, the optical axis region 43 of theobject-side surface 41 of the fourth lens element 40 is concave, theperiphery region 47 of the image-side surface 42 of the fourth lenselement 40 is concave, the fifth lens element 50 has positive refractingpower, the periphery region 87 of the image-side surface 82 of theeighth lens element 80 is concave.

The optical data of the second embodiment of the optical imaging lensare shown in FIG. 26 while the aspheric surface data are shown in FIG.27 . In this embodiment, TTL=8.737 mm; EFL= 6.584 mm; HFOV= 41.422degrees; ImgH=5.920 mm; Fno=1.800. In particular: 1.The longitudinalspherical aberration in this embodiment is smaller than the longitudinalspherical aberration in the first embodiment; 2. The distortionaberration in this embodiment is smaller than the distortion aberrationin the first embodiment.

Third Embodiment

Please refer to FIG. 10 which illustrates the third embodiment of theoptical imaging lens 1 of the present invention. Please refer to FIG.11A for the longitudinal spherical aberration on the image plane 4 ofthe third embodiment; please refer to FIG. 11B for the field curvatureaberration on the sagittal direction; please refer to FIG. 11C for thefield curvature aberration on the tangential direction; and please referto FIG. 11D for the distortion aberration. The components in thisembodiment are similar to those in the first embodiment, but the opticaldata such as the lens element refracting power, the radius of curvature,the lens element thickness, the aspheric surface or the back focallength in this embodiment are different from the optical data in thefirst embodiment. Besides, in this embodiment, the optical axis region36 of the image-side surface 32 of the third lens element 30 is concave,the optical axis region 43 of the object-side surface 41 of the fourthlens element 40 is concave, the fifth lens element 50 has positiverefracting power.

The optical data of the third embodiment of the optical imaging lens areshown in FIG. 28 while the aspheric surface data are shown in FIG. 29 .In this embodiment, TTL=8.928 mm; EFL= 6.774 mm; HFOV= 42.521 degrees;ImgH=6.700 mm; Fno = 1.800. In particular: 1.The HFOV in this embodimentis larger than the HFOV in the first embodiment; 2.The longitudinalspherical aberration in this embodiment is smaller than the longitudinalspherical aberration in the first embodiment.

Fourth Embodiment

Please refer to FIG. 12 which illustrates the fourth embodiment of theoptical imaging lens 1 of the present invention. Please refer to FIG.13A for the longitudinal spherical aberration on the image plane 4 ofthe fourth embodiment; please refer to FIG. 13B for the field curvatureaberration on the sagittal direction; please refer to FIG. 13C for thefield curvature aberration on the tangential direction; and please referto FIG. 13D for the distortion aberration. The components in thisembodiment are similar to those in the first embodiment, but the opticaldata such as the lens element refracting power, the radius of curvature,the lens element thickness, the aspheric surface or the back focallength in this embodiment are different from the optical data in thefirst embodiment. Besides, in this embodiment, the optical axis region36 of the image-side surface 32 of the third lens element 30 is concave,the optical axis region 43 of the object-side surface 41 of the fourthlens element 40 is concave, the fifth lens element 50 has positiverefracting power.

The optical data of the fourth embodiment of the optical imaging lensare shown in FIG. 30 while the aspheric surface data are shown in FIG.31 . In this embodiment, TTL= 8.889 mm; EFL= 6.961 mm; HFOV= 42.523degrees; ImgH=6.751 mm; Fno = 1.800. In particular: 1.The HFOV in thisembodiment is larger than the HFOV in the first embodiment; 2.Thelongitudinal spherical aberration in this embodiment is smaller than thelongitudinal spherical aberration in the first embodiment; 3.The fieldcurvature aberration on the sagittal direction in this embodiment issmaller than the field curvature aberration on the sagittal direction inthe first embodiment.

Fifth Embodiment

Please refer to FIG. 14 which illustrates the fifth embodiment of theoptical imaging lens 1 of the present invention. Please refer to FIG.15A for the longitudinal spherical aberration on the image plane 4 ofthe fifth embodiment; please refer to FIG. 15B for the field curvatureaberration on the sagittal direction; please refer to FIG. 15C for thefield curvature aberration on the tangential direction, and please referto FIG. 15D for the distortion aberration. The components in thisembodiment are similar to those in the first embodiment, but the opticaldata such as the lens element refracting power, the radius of curvature,the lens element thickness, the aspheric surface or the back focallength in this embodiment are different from the optical data in thefirst embodiment. Besides, in this embodiment, the fifth lens element 50has positive refracting power, the seventh lens element 70 has negativerefracting power.

The optical data of the fifth embodiment of the optical imaging lens areshown in FIG. 32 while the aspheric surface data are shown in FIG. 33 .In this embodiment, TTL= 8.210 mm; EFL= 6.454 mm; HFOV= 39.607 degrees;ImgH=5.047 mm; Fno = 2.000. In particular: 1. The system length of theoptical imaging lens TTL in this embodiment is shorter than the systemlength of the optical imaging lens TTL in the first embodiment; 2.Thelongitudinal spherical aberration in this embodiment is smaller than thelongitudinal spherical aberration in the first embodiment; 3.The fieldcurvature aberration on the sagittal direction in this embodiment issmaller than the field curvature aberration on the sagittal direction inthe first embodiment.

Sixth Embodiment

Please refer to FIG. 16 which illustrates the sixth embodiment of theoptical imaging lens 1 of the present invention. Please refer to FIG.17A for the longitudinal spherical aberration on the image plane 4 ofthe sixth embodiment; please refer to FIG. 17B for the field curvatureaberration on the sagittal direction; please refer to FIG. 17C for thefield curvature aberration on the tangential direction, and please referto FIG. 17D for the distortion aberration. The components in thisembodiment are similar to those in the first embodiment, but the opticaldata such as the lens element refracting power, the radius of curvature,the lens element thickness, the aspheric surface or the back focallength in this embodiment are different from the optical data in thefirst embodiment. Besides, in this embodiment, the optical axis region36 of the image-side surface 32 of the third lens element 30 is concave,the optical axis region 43 of the object-side surface 41 of the fourthlens element 40 is concave, the fifth lens element 50 has positiverefracting power, the optical axis region 53 of the object-side surface51 of the fifth lens element 50 is convex, the ninth lens element 90 haspositive refracting power, the optical axis region 93 of the object-sidesurface 91 of the ninth lens element 90 is convex.

The optical data of the sixth embodiment of the optical imaging lens areshown in FIG. 34 while the aspheric surface data are shown in FIG. 35 .In this embodiment, TTL= 9.016 mm; EFL= 6.086 mm; HFOV= 39.249 degrees;ImgH=6.240 mm; Fno = 1.900. In particular: 1. The longitudinal sphericalaberration in this embodiment is smaller than the longitudinal sphericalaberration in the first embodiment.

Seventh Embodiment

Please refer to FIG. 18 which illustrates the seventh embodiment of theoptical imaging lens 1 of the present invention. Please refer to FIG.19A for the longitudinal spherical aberration on the image plane 4 ofthe seventh embodiment; please refer to FIG. 19B for the field curvatureaberration on the sagittal direction; please refer to FIG. 19C for thefield curvature aberration on the tangential direction, and please referto FIG. 19D for the distortion aberration. The components in thisembodiment are similar to those in the first embodiment, but the opticaldata such as the lens element refracting power, the radius of curvature,the lens element thickness, the aspheric surface or the back focallength in this embodiment are different from the optical data in thefirst embodiment. Besides, in this embodiment, the optical axis region36 of the image-side surface 32 of the third lens element 30 is concave,the optical axis region 43 of the object-side surface 41 of the fourthlens element 40 is concave, the fifth lens element 50 has positiverefracting power.

The optical data of the seventh embodiment of the optical imaging lensare shown in FIG. 36 while the aspheric surface data are shown in FIG.37 . In this embodiment, TTL= 8.945 mm; EFL= 6.831 mm; HFOV= 42.521degrees; ImgH=6.700 mm; Fno = 1.800. In particular: 1.The HFOV in thisembodiment is larger than the HFOV in the first embodiment; 2.Thelongitudinal spherical aberration in this embodiment is smaller than thelongitudinal spherical aberration in the first embodiment.

Eighth Embodiment

Please refer to FIG. 20 which illustrates the eighth embodiment of theoptical imaging lens 1 of the present invention. Please refer to FIG.21A for the longitudinal spherical aberration on the image plane 4 ofthe eighth embodiment; please refer to FIG. 21B for the field curvatureaberration on the sagittal direction; please refer to FIG. 21C for thefield curvature aberration on the tangential direction, and please referto FIG. 21D for the distortion aberration. The components in thisembodiment are similar to those in the first embodiment, but the opticaldata such as the lens element refracting power, the radius of curvature,the lens element thickness, the aspheric surface or the back focallength in this embodiment are different from the optical data in thefirst embodiment. Besides, in this embodiment, the optical axis region36 of the image-side surface 32 of the third lens element 30 is concave.

The optical data of the eighth embodiment of the optical imaging lensare shown in FIG. 38 while the aspheric surface data are shown in FIG.39 . In this embodiment, TTL= 9.031 mm; EFL= 7.122 mm; HFOV= 42.522degrees; ImgH=6.708 mm; Fno = 1.800. In particular: 1.The HFOV in thisembodiment is larger than the HFOV in the first embodiment; 2.Thelongitudinal spherical aberration in this embodiment is smaller than thelongitudinal spherical aberration in the first embodiment; 3.Thedistortion aberration in this embodiment is smaller than the distortionaberration in the first embodiment.

Ninth Embodiment

Please refer to FIG. 22 which illustrates the ninth embodiment of theoptical imaging lens 1 of the present invention. Please refer to FIG.23A for the longitudinal spherical aberration on the image plane 4 ofthe ninth embodiment; please refer to FIG. 23B for the field curvatureaberration on the sagittal direction; please refer to FIG. 23C for thefield curvature aberration on the tangential direction, and please referto FIG. 23D for the distortion aberration. The components in thisembodiment are similar to those in the first embodiment, but the opticaldata such as such as the lens element refracting power, the radius ofcurvature, the lens element thickness, the aspheric surface or the backfocal length in this embodiment are different from the optical data inthe first embodiment. Besides, in this embodiment, the optical axisregion 36 of the image-side surface 32 of the third lens element 30 isconcave, the eighth lens element 80 has negative refracting power, theoptical axis region 83 of the object-side surface 81 of the eighth lenselement 80 is concave.

The optical data of the ninth embodiment of the optical imaging lens areshown in FIG. 40 while the aspheric surface data are shown in FIG. 41 .In this embodiment, TTL= 8.693 mm; EFL= 6.647 mm; HFOV= 39.603 degrees;ImgH=5.425 mm; Fno = 1.800. In particular: 1. The longitudinal sphericalaberration in this embodiment is smaller than the longitudinal sphericalaberration in the first embodiment; 2.The field curvature aberration onthe sagittal direction in this embodiment is smaller than the fieldcurvature aberration on the sagittal direction in the first embodiment;3.The distortion aberration in this embodiment is smaller than thedistortion aberration in the first embodiment.

Some important ratios in each embodiment are shown in FIG. 42 and FIG.43 .

Each embodiment of the present invention provides an optical imaginglens which has good imaging quality. For example, the following lenselement concave or convex configuration may effectively reduce the fieldcurvature aberration and the distortion aberration to optimize theimaging quality of the optical imaging lens. Furthermore, the presentinvention has the corresponding advantages:

-   1. According to the embodiment of the present invention, the optical    path can be corrected to improve the aberration by satisfying that    the second lens element 20 has negative refracting power or the    third lens element 30 has positive refracting power. Furthermore,    since the following relationships are satisfied: the periphery    region 27 of the image-side surface 22 of the second lens element 20    is concave, the fourth lens element 40 has negative refracting    power, the sixth lens element 60 has negative refracting power, the    optical axis region 76 of the image-side surface 72 of the seventh    lens element 70 is concave, and the optical axis region 96 of the    image-side surface 92 of the ninth lens element 90 is concave, which    can increase the image height, balance the spherical aberration of    the optical system and reduce the distortion. If the relationship of    (V5+V6+V7)/(V3+V4)≥1.100 is satisfied, the chromatic aberration can    be improved, and the different refractive indices of different    materials can be matched with each other, so that the light can    smoothly turn and converge, to obtain better imaging quality and    improve manufacturing yield at the same time, and the preferable    range is 1.100≤(V5+V6+V7)/(V3+V4) ≤2.500. In addition, when the    first lens element 10 has positive refracting power, the f-number    can be reduced.-   2. According to the embodiment of the present invention, the optical    path can be corrected to improve aberration by satisfying that the    second lens element 20 has negative refracting power. Furthermore,    since the following relationships are satisfied: the fourth lens    element 40 has negative refracting power, the sixth lens element 60    has negative refracting power, the periphery region 64 of the    object-side surface 61 of the sixth lens element 60 is concave, the    optical axis region 76 of the image-side surface 72 of the seventh    lens element 70 is concave, and the optical axis region 96 of the    image-side surface 92 of the ninth lens element 90 is concave, which    can increase the image height, balance the spherical aberration of    the optical system and reduce the distortion. If the relationship of    (V5+V6+V7)/(V3+V4)≥1.100 is satisfied, the chromatic aberration can    be improved, and the different refractive indices of different    materials can be matched with each other, so that the light can    smoothly turn and converge, to obtain better imaging quality and    improve manufacturing yield at the same time, and the preferable    range is 1.100≤(V5+V6+V7)/(V3+V4) ≤2.500. In addition, when the    first lens element 10 has positive refracting power or the third    lens element 30 has positive refracting power, the f-number can be    reduced.-   3. According to the embodiment of the present invention, the optical    path can be corrected to improve the aberration by satisfying that    the second lens element 20 has negative refracting power or the    third lens element 30 has positive refracting power. Furthermore,    since the following relationships are satisfied: the fourth lens    element 40 has negative refracting power, the sixth lens element 60    has negative refracting power, the optical axis region 63 of the    object-side surface 61 of the sixth lens element 60 is concave, the    periphery region 67 of the image-side surface 62 of the sixth lens    element 60 is convex, the optical axis region 73 of the object-side    surface 71 of the seventh lens element 70 is convex, and the    periphery region 94 of the object-side surface 91 of the ninth lens    element 90 is concave, which can increase the image height, balance    the spherical aberration of the optical system and reduce the    distortion. If the relationship of (V5+V6+V7)≥(V2+V3+V4) is    satisfied, the chromatic aberration can be improved, and the    different refractive indices of different materials can be matched    with each other, so that the light can smoothly turn and converge,    to obtain better imaging quality and improve manufacturing yield at    the same time, and the preferable range is 1.000 ≤    (V5+V6+V7)/(V2+V3+V4) ≤ 1.800. In addition, when the first lens    element 10 has positive refracting power, the f-number can be    reduced.-   4. If the embodiment of the invention satisfies the relationship of    (V5+V6+V7)/(V2+V3)≥1.200, the chromatic aberration can be improved    and the resolution can be improved, and the preferable range is    1.200≤(V5+V6+V7)/(V2+V3)≤2.500.-   5. In order to shorten the system length of optical imaging lens,    the air gap between lens elements or the thickness of lens element    can be adjusted appropriately, but the difficulty of manufacturing    and the imaging quality must be considered at the same time.    Therefore, if the numerical limits of the following relationships    shown in Table 1 are satisfied, the better configuration can be    obtained:

TABLE 1 Relationships Preferable range (G34+G56)/G23≥2.5002.500≤(G34+G56)/G23≤5.000 (T6+T7)/(G56+G67)≥2.3002.300≤(T6+T7)/(G56+G67)≤3.800 (T4+T5+T6)/(G67+G78)≤3.0001.500≤(T4+T5+T6)/(G67+G78)≤3.000 (G89+T9)/(G23+G67)≥3.0003.000≤(G89+T9)/(G23+G67)≤4.700 (T1+G12+G34)/T3≤4.0002.000≤(T1+G12+G34)/T3≤4.000 ALT/(G78+G89)≤4.4003.000≤ALT/(G78+G89)≤4.400 AAG/(T2+T3+G34)≤2.5001.400≤AAG/(T2+T3+G34)≤2.500 (T4+G45+T5)/(G12+G34)≤2.1001.200≤(T4+G45+T5)/(G12+G34)≤2.100 ALT/(T5+G56+T6)≤4.2002.800≤ALT/(T5+G56+T6)≤4.200 (T8+BFL)/T2≤5.500 2.000≤(T8+BFL)/T2≤5.500TL/(T1+T6+G89)≤4.200 2.700≤TL/(T1+T6+G89)≤4.200 (G34+T6)/T4≥2.8002.800≤(G34+T6)/T4≤4.500 (T6+G67)/G56≤3.400 1.800≤(T6+G67)/G56≤3.400(T1+T9)/(G56+G67)≥2.800 2.800≤(T1+T9)/(G56+G67)≤4.600 (AAG+T4)/T1≤4.5002.900≤(AAG+T4)/T1≤4.500 (T8+T9)/T7≥1.500 1.500≤(T8+T9)/T7≤3.800(T2+T3+T4)/T6≤2.500 1.300≤(T2+T3+T4)/T6≤2.500

By observing three representative wavelengths of lights in eachembodiment of the present invention, it is suggested off-axis light ofdifferent heights of every wavelength all concentrates on the imageplane, and deviations of every curve also reveal that off-axis light ofdifferent heights are well controlled so the embodiments do improve thespherical aberration, the astigmatic aberration and the distortionaberration. In addition, by observing the imaging quality data thedistances amongst the three representing different wavelengths of lightsare pretty close to one another, which means the embodiments of thepresent invention are able to concentrate light of the threerepresenting different wavelengths so that the aberration is greatlyimproved. Given the above, it is understood that the embodiments of thepresent invention provides outstanding imaging quality.

In addition, any arbitrary combination of the parameters of theembodiments can be selected to increase the lens limitation so as tofacilitate the design of the same structure of the present invention.

In the light of the unpredictability of the optical imaging lens, thepresent invention suggests the above principles to have a shorter systemlength of the optical imaging lens, lower f-number, larger image heightand better imaging quality or a better fabrication yield to overcome thedrawbacks of prior art. And by use of plastic material for the lenselement of the present invention can further reduce the weight and costof the optical imaging lens.

In addition to the above ratios, one or more conditional formulae may beoptionally combined to be used in the embodiments of the presentinvention and the present invention is not limit to this. The concave orconvex configuration of each lens element or multiple lens elements maybe fine-tuned to enhance the performance and/or the resolution. Theabove limitations may be selectively combined in the embodiments withoutcausing inconsistency.

The contents in the embodiments of the invention include but are notlimited to a focal length, a thickness of a lens element, an Abbenumber, or other optical parameters. For example, in the embodiments ofthe invention, an optical parameter A and an optical parameter B aredisclosed, wherein the ranges of the optical parameters, comparativerelation between the optical parameters, and the range of a conditionalexpression covered by a plurality of embodiments are specificallyexplained as follows:

-   (1) The ranges of the optical parameters are, for example, α₂≤A≤α₁    or β₂≤B≤β₁, where α₁ is a maximum value of the optical parameter A    among the plurality of embodiments, α₂ is a minimum value of the    optical parameter A among the plurality of embodiments, β₁ is a    maximum value of the optical parameter B among the plurality of    embodiments, and β₂ is a minimum value of the optical parameter B    among the plurality of embodiments.-   (2) The comparative relation between the optical parameters is that    A is greater than B or A is less than B, for example.-   (3) The range of a conditional expression covered by a plurality of    embodiments is in detail a combination relation or proportional    relation obtained by a possible operation of a plurality of optical    parameters in each same embodiment. The relation is defined as E,    and E is, for example, A+B or A-B or A/B or A*B or (A*B)^(½), and E    satisfies a conditional expression E≤γ₁ or E≥γ₂ or γ₂≤E≤γ₁, where    each of γ₁ and γ₂ is a value obtained by an operation of the optical    parameter A and the optical parameter B in a same embodiment, γ₁ is    a maximum value among the plurality of the embodiments, and γ₂ is a    minimum value among the plurality of the embodiments.

The ranges of the aforementioned optical parameters, the aforementionedcomparative relations between the optical parameters, and a maximumvalue, a minimum value, and the numerical range between the maximumvalue and the minimum value of the aforementioned conditionalexpressions are all implementable and all belong to the scope disclosedby the invention. The aforementioned description is for exemplaryexplanation, but the invention is not limited thereto.

The embodiments of the invention are all implementable. In addition, acombination of partial features in a same embodiment can be selected,and the combination of partial features can achieve the unexpectedresult of the invention with respect to the prior art. The combinationof partial features includes but is not limited to the surface shape ofa lens element, a refracting power, a conditional expression or thelike, or a combination thereof. The description of the embodiments isfor explaining the specific embodiments of the principles of theinvention, but the invention is not limited thereto. Specifically, theembodiments and the drawings are for exemplifying, but the invention isnot limited thereto.

Those skilled in the art will readily observe that numerousmodifications and alterations of the device and method may be made whileretaining the teachings of the invention. Accordingly, the abovedisclosure should be construed as limited only by the metes and boundsof the appended claims.

What is claimed is:
 1. An optical imaging lens, from an object side to an image side in order along an optical axis comprising: a first lens element, a second lens element, a third lens element, a fourth lens element, a fifth lens element, a sixth lens element, a seventh lens element, an eighth lens element and a ninth lens element, the first lens element to the ninth lens element each having an object-side surface facing toward the object side and allowing imaging rays to pass through as well as an image-side surface facing toward the image side and allowing the imaging rays to pass through, wherein: the second lens element has negative refracting power or the third lens element has positive refracting power; a periphery region of the image-side surface of the second lens element is concave; the fourth lens element has negative refracting power; the sixth lens element has negative refracting power; an optical axis region of the image-side surface of the seventh lens element is concave; an optical axis region of the image-side surface of the ninth lens element is concave; wherein lens elements included by the optical imaging lens are only the nine lens elements described above, and the optical imaging lens satisfies the relationship: (V5+V6+V7)/(V3+V4)≥1.100, wherein V3 is an Abbe number of the third lens element, V4 is an Abbe number of the fourth lens element, V5 is an Abbe number of the fifth lens element, V6 is an Abbe number of the sixth lens element, V7 is an Abbe number of the seventh lens element.
 2. The optical imaging lens of claim 1, wherein G23 is an air gap between the second lens element and the third lens element along the optical axis, G34 is an air gap between the third lens element and the fourth lens element along the optical axis, G56 is an air gap between the fifth lens element and the sixth lens element along the optical axis, and the optical imaging lens satisfies the relationship: (G34+G56)/G23≥2.500.
 3. The optical imaging lens of claim 1, wherein T6 is a thickness of the sixth lens element along the optical axis, T7 is a thickness of the seventh lens element along the optical axis, G56 is an air gap between the fifth lens element and the sixth lens element along the optical axis, G67 is an air gap between the sixth lens element and the seventh lens element along the optical axis, and the optical imaging lens satisfies the relationship: (T6+T7)/(G56+G67)≥2.300.
 4. The optical imaging lens of claim 1, wherein T4 is a thickness of the fourth lens element along the optical axis, T5 is a thickness of the fifth lens element along the optical axis, T6 is a thickness of the sixth lens element along the optical axis, G67 is an air gap between the sixth lens element and the seventh lens element along the optical axis, G78 is an air gap between the seventh lens element and the eighth lens element along the optical axis, and the optical imaging lens satisfies the relationship: (T4+T5+T6)/(G67+G78)≤3.000.
 5. The optical imaging lens of claim 1, wherein T9 is a thickness of the ninth lens element along the optical axis, G23 is an air gap between the second lens element and the third lens element along the optical axis, G67 is an air gap between the sixth lens element and the seventh lens element along the optical axis, G89 is an air gap between the eighth lens element and the ninth lens element along the optical axis, and the optical imaging lens satisfies the relationship: (G89+T9)/(G23+G67)≥3.000.
 6. The optical imaging lens of claim 1, wherein T1 is a thickness of the first lens element along the optical axis, T3 is a thickness of the third lens element along the optical axis, G12 is an air gap between the first lens element and the second lens element along the optical axis, G34 is an air gap between the third lens element and the fourth lens element along the optical axis, and the optical imaging lens satisfies the relationship: (T1+G12+G34)/T3≤4.000.
 7. The optical imaging lens of claim 1, wherein ALT is a sum of thicknesses of the nine lens elements from the first lens element to the ninth lens element along the optical axis, G78 is an air gap between the seventh lens element and the eighth lens element along the optical axis, G89 is an air gap between the eighth lens element and the ninth lens element along the optical axis, and the optical imaging lens satisfies the relationship: ALT/(G78+G89)≤4.400.
 8. An optical imaging lens, from an object side to an image side in order along an optical axis comprising: a first lens element, a second lens element, a third lens element, a fourth lens element, a fifth lens element, a sixth lens element, a seventh lens element, an eighth lens element and a ninth lens element, the first lens element to the ninth lens element each having an object-side surface facing toward the object side and allowing imaging rays to pass through as well as an image-side surface facing toward the image side and allowing the imaging rays to pass through, wherein: the second lens element has negative refracting power; the fourth lens element has negative refracting power; the sixth lens element has negative refracting power, and a periphery region of the object-side surface of the sixth lens element is concave; an optical axis region of the image-side surface of the seventh lens element is concave; an optical axis region of the image-side surface of the ninth lens element is concave; wherein lens elements included by the optical imaging lens are only the nine lens elements described above, and the optical imaging lens satisfies the relationship: (VS+V6+V7)/(V3+V4)≥1.100, wherein V3 is an Abbe number of the third lens element, V4 is an Abbe number of the fourth lens element, V5 is an Abbe number of the fifth lens element, V6 is an Abbe number of the sixth lens element, V7 is an Abbe number of the seventh lens element.
 9. The optical imaging lens of claim 8, wherein AAG is a sum of eight air gaps from the first lens element to the ninth lens element along the optical axis, T2 is a thickness of the second lens element along the optical axis, T3 is a thickness of the third lens element along the optical axis, G34 is an air gap between the third lens element and the fourth lens element along the optical axis, and the optical imaging lens satisfies the relationship: AAG/(T2+T3+G34)≤2.500.
 10. The optical imaging lens of claim 8, wherein T4 is a thickness of the fourth lens element along the optical axis, T5 is a thickness of the fifth lens element along the optical axis, G12 is an air gap between the first lens element and the second lens element along the optical axis, G34 is an air gap between the third lens element and the fourth lens element along the optical axis, G45 is an air gap between the fourth lens element and the fifth lens element along the optical axis, and the optical imaging lens satisfies the relationship: (T4+G45+T5)/(G12+G34)≤2.100.
 11. The optical imaging lens of claim 8, wherein ALT is a sum of thicknesses of the nine lens elements from the first lens element to the ninth lens element along the optical axis, T5 is a thickness of the fifth lens element along the optical axis, T6 is a thickness of the sixth lens element along the optical axis, G56 is an air gap between the fifth lens element and the sixth lens element along the optical axis, and the optical imaging lens satisfies the relationship: ALT/(T5+G56+T6)≤4.200.
 12. The optical imaging lens of claim 8, wherein BFL is a distance from the image-side surface of the ninth lens element to an image plane along the optical axis, T2 is a thickness of the second lens element along the optical axis, T8 is a thickness of the eighth lens element along the optical axis, and the optical imaging lens satisfies the relationship: (T8+BFL)/T2≤5.500.
 13. The optical imaging lens of claim 8, wherein TL is a distance from the object-side surface of the first lens element to the image-side surface of the ninth lens element along the optical axis, T1 is a thickness of the first lens element along the optical axis, T6 is a thickness of the sixth lens element along the optical axis, G89 is an air gap between the eighth lens element and the ninth lens element along the optical axis, and the optical imaging lens satisfies the relationship: TL/(T1+T6+G89)≤4.200.
 14. The optical imaging lens of claim 8, wherein T4 is a thickness of the fourth lens element along the optical axis, T6 is a thickness of the sixth lens element along the optical axis, G34 is an air gap between the third lens element and the fourth lens element along the optical axis, and the optical imaging lens satisfies the relationship: (G34+T6)/T4≥2.800.
 15. An optical imaging lens, from an object side to an image side in order along an optical axis comprising: a first lens element, a second lens element, a third lens element, a fourth lens element, a fifth lens element, a sixth lens element, a seventh lens element, an eighth lens element and a ninth lens element, the first lens element to the ninth lens element each having an object-side surface facing toward the object side and allowing imaging rays to pass through as well as an image-side surface facing toward the image side and allowing the imaging rays to pass through, wherein: the second lens element has negative refracting power or the third lens element has positive refracting power; the fourth lens element has negative refracting power; the sixth lens element has negative refracting power, an optical axis region of the object-side surface of the sixth lens element is concave, and a periphery region of the image-side surface of the sixth lens element is convex; an optical axis region of the object-side surface of the seventh lens element is convex; a periphery region of the object-side surface of the ninth lens element is concave; wherein lens elements included by the optical imaging lens are only the nine lens elements described above, and the optical imaging lens satisfies the relationship: (V5+V6+V7)≥(V2+V3+V4), wherein V2 is an Abbe number of the second lens element, V3 is an Abbe number of the third lens element, V4 is an Abbe number of the fourth lens element, V5 is an Abbe number of the fifth lens element, V6 is an Abbe number of the sixth lens element, V7 is an Abbe number of the seventh lens element.
 16. The optical imaging lens of claim 15, wherein T6 is a thickness of the sixth lens element along the optical axis, G56 is an air gap between the fifth lens element and the sixth lens element along the optical axis, G67 is an air gap between the sixth lens element and the seventh lens element along the optical axis, and the optical imaging lens satisfies the relationship: (T6+G67)/G56≤3.400.
 17. The optical imaging lens of claim 15, wherein T1 is a thickness of the first lens element along the optical axis, T9 is a thickness of the ninth lens element along the optical axis, G56 is an air gap between the fifth lens element and the sixth lens element along the optical axis, G67 is an air gap between the sixth lens element and the seventh lens element along the optical axis, and the optical imaging lens satisfies the relationship: (T1+T9)/(G56+G67)≥2.800.
 18. The optical imaging lens of claim 15, wherein AAG is a sum of eight air gaps from the first lens element to the ninth lens element along the optical axis, T1 is a thickness of the first lens element along the optical axis, T4 is a thickness of the fourth lens element along the optical axis, and the optical imaging lens satisfies the relationship: (AAG+T4)/T1≤4.500.
 19. The optical imaging lens of claim 15, wherein T7 is a thickness of the seventh lens element along the optical axis, T8 is a thickness of the eighth lens element along the optical axis, T9 is a thickness of the ninth lens element along the optical axis, and the optical imaging lens satisfies the relationship: (T8+T9)/T7≥1.500.
 20. The optical imaging lens of claim 15, wherein T2 is a thickness of the second lens element along the optical axis, T3 is a thickness of the third lens element along the optical axis, T4 is a thickness of the fourth lens element along the optical axis, T6 is a thickness of the sixth lens element along the optical axis, and the optical imaging lens satisfies the relationship: (T2+T3+T4)/T6≤2.500. 